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Finding the Fourth Proportional to 6,897.84, 10,347 and 1,703.76

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Solution

The fourth proportional to 6,897.84, 10,347 and 1,703.76 is: 2,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.84 : 10,347 = 1,703.76 : x
  2. Step 2: Convert to fraction form
    6,897.84/10,347 = 1,703.76/x
  3. Step 3: Cross multiply
    6,897.84x = 10,347 × 1,703.76
  4. Step 4: Simplify right side
    6,897.84x = 17,628,804.72
  5. Step 5: Solve for x
    x = 17,628,804.72/6,897.84
  6. Step 6: Final answer
    x = 2,555.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.